在参量控制下的（2+1）维空间光孤子

为了实现在纵向变化的参量控制下，（2+1）维空间光孤子不稳定性的抑制，通过了数值地求解变系数的（2+1）维非线性薛定谔方程，讨论了在参量控制下的（2+1）维空间光孤子。结果发现，一定的参量控制，即沿传播方向周期性改变的衍射参量和自聚焦效应参量可有效抑制（2+1）维空间光孤子的不稳定性。另外，进一步的数值计算表明，在一定参量控制下的（2+1）维空间光孤子的传输对损耗，有限的扰动，如白噪声等不敏感。 这表明参量控制的（2+1）维空间光孤子应该是稳定的。

(2+1)-dimensional spatial optical soliton in parameter control

In order to restrict the instability of (2+1)-dimensional spatial optical soliton by the parameter control along the longitudinal axes, (2+1)-dimensional spatial optical soliton in parameter control was discussed, by solving the (2+1)-dimensional nonlinear Schr?dinger equation with variable coefficients numerically. The results show that the parameter control, namely, the combined effects of periodically controlling both the diffraction parameter and the self-focusing parameter along the longitudinal axes, can restrict the instability of (2+1)-dimensional spatial optical soliton to some extent. On the other hand, further simulations indicate that the propagation of (2+1)-dimensional spatial optical soliton in parameter control is less sensitive to both loss and finite perturbations, such as white noise. This reveals that (2+1)-dimensional spatial optical soliton in parameter control should be stable.